猜想的认知心理学分析及其应用

An Analysis of the Mathematical Conjecture Based on Perception Psychology and Some of Its Practices

运用现代认知心理学的有关理论对数学猜想作出分析 ,认为完善的认知结构是猜想的必要条件 ,图式的激活与组织具有重要的作用 ,强调指出猜想的顺利进行有必要从元认知角度实施调控。然后举例说明猜想在数学问题解决中的应用 ,如解题方法的发现 。

Through the analysis of the mathematic conjecture by using the theories of modern perception psychology,it is held that the perpect perceptive construction is a necessary condition for the conjecture.The activation and organization of a model play an important part.It is emphasized that a successful conjecture should be started from the supervision of mental cognition.Finally,examples are given to illustrate the application of conjecture to mathematic solutions,such as the finding of methods of solution and the generalization of new conjecture propositions.